Heisenberg model in pseudo-Euclidean spaces II
arXiv:1808.10783 · doi:10.1134/S1560354718040044
Abstract
In the review we describe a relation between the Heisenberg spin chain model on pseudospheres and light--like cones in pseudo--Eucli\-dean spaces and virtual billiards. A geometrical interpretation of the integrals associated to a family of confocal quadrics is given, analogous to Moser's geometrical interpretation of the integrals of the Neumann system on the sphere.
arXiv comment22 pages, 1 figure, A draft of Section 2 of the current paper is given in arXiv:1510.04037v1, Section 5
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